Answer:
m(∠y) = 64°
Step-by-step explanation:
From the figure attached,
m(∠e) = 90°
m(∠b) + 67° = 180° [Linear pair of angles]
m(∠b) = 180 - 67
= 113°
m(∠c) + 75° = 180° [Linear pair of angles]
m(∠c) = 105°
m(∠a) = m(∠d)
By the property of a polygon,
Sum of the interior angles of a polygon is given by,
Sum of interior angles = (n - 2) × 180°
Here, n = number of sides of the polygon
For n = 5,
Sum of interior angles = (5 - 2)×180°
= 540°
m(∠a) + m(∠b) + m(∠c) + m(∠d) + m(e) = 540°
2m(∠d) + 113° + 105° + 90° = 540°
2m(∠d) + 308 = 540°
2m(∠d) = 540 - 308
m(∠d) = 116°
m(∠d) + m(∠y) = 180°
m(∠y) + 116° = 180° [Linear pair of angles]
m(∠y) = 64°
Answer:
Step-by-step explanation:
<u>Extended Information </u><u>on</u><u> </u><u>the</u><u> Complex Number System</u>
![\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[all\:multiples\:of\:four]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B-1%7D%20%3D%20i%20%5C%5C%20-1%20%3D%20i%5E2%20%5C%5C%20-i%20%3D%20i%5E3%20%5C%5C%201%20%3D%20i%5E4%5C%3A%5Ball%5C%3Amultiples%5C%3Aof%5C%3Afour%5D)
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All work is shown above. ↑
Answer:
67 mm
Step-by-step explanation:
use area of a trap formula:
b1+b2 /2*h
b1=base
b2=base
h=height
in our case it was, 8.2+5.2/2*10
67
D. y = 3x + 2
Check (-4, -10)
-10 = 3(-4) + 2
-10 = -12 + 2
-10 = -10 :)
Check (-3, -7)
-7 = 3(-3) + 2
-7 = -9 + 2
-7 = -7 :)
Check (-2, -4)
-4 = 3(-2) + 2
-4 = -6 + 2
-4 = -4 :)
Check (-1, -1)
-1 = 3(-1) + 2
-1 = -3 + 2
-1 = -1 :)
Check (0, 2)
2 = 3(0) + 2
2 = 0 + 2
2 = 2 :)
Answer:
1. 
ft 2. 
yards 3. 
units.
Step-by-step explanation:
Pythagorean's Theorem 
A and b are both side lengths, c is the hypotenuse.
7^2 + 5^2 = 74
sqrt(74) is the answer for 1.
30^2 - 5^2 = 875
Simplify the radical. sqrt(875) --> 5sqrt(35). The answer for three.
There's a rule in geometry that says a diagonal of a square is the same length as taking a side length times the square root of two. There's your answer for two.
